Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600br |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
4088448000 = 210 · 33 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,-2628] |
[a1,a2,a3,a4,a6] |
j |
100615028/31941 |
j-invariant |
L |
2.0820509552247 |
L(r)(E,1)/r! |
Ω |
1.0410254779143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cm1 54600bg1 |
Quadratic twists by: -4 5 |